{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "palette = 'muted'\n",
    "sns.set_palette(palette); sns.set_color_codes(palette)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def posterior_grid(grid_points=100, heads=6, tosses=9):\n",
    "    \"\"\"\n",
    "    A grid implementation for the coin-flip problem\n",
    "    \"\"\"\n",
    "    # define a grid\n",
    "    grid = np.linspace(0, 1, grid_points)\n",
    "\n",
    "    # define prior\n",
    "    prior = np.repeat(5, grid_points)  # uniform\n",
    "    #prior = (grid  <= 0.4).astype(int)  # truncated\n",
    "    #prior = abs(grid - 0.5)  # \"M\" prior\n",
    "\n",
    "    # compute likelihood at each point in the grid\n",
    "    likelihood = stats.binom.pmf(heads, tosses, grid)\n",
    "\n",
    "    # compute product of likelihood and prior\n",
    "    unstd_posterior = likelihood * prior\n",
    "\n",
    "    # standardize the posterior, so it sums to 1\n",
    "    posterior = unstd_posterior / unstd_posterior.sum()\n",
    "    return grid, posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAFoCAYAAACR/hiTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJiIi0pD/AQQyUj6v/5P6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c2ecf34e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = 15\n",
    "h, n = 1, 4\n",
    "grid, posterior = posterior_grid(points, h, n)\n",
    "plt.plot(grid, posterior, 'o-')\n",
    "plt.plot(0, 0, label='heads = {}\\ntosses = {}'.format(h, n), alpha=0)\n",
    "plt.xlabel(r'$\\theta$', fontsize=14)\n",
    "plt.legend(loc=0, fontsize=14)\n",
    "plt.savefig('B04958_02_01.png', dpi=300, figsize=(5.5, 5.5));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Monte Carlo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAFVCAYAAADVI+VvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c2a5105c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10000\n",
    "\n",
    "x, y = np.random.uniform(-1, 1, size=(2, N))\n",
    "inside = (x**2 + y**2)  <= 1\n",
    "pi = inside.sum()*4/N\n",
    "error = abs((pi - np.pi)/pi)* 100\n",
    "\n",
    "outside = np.invert(inside)\n",
    "\n",
    "plt.plot(x[inside], y[inside], 'b.')\n",
    "plt.plot(x[outside], y[outside], 'r.')\n",
    "plt.plot(0, 0, label='$\\hat \\pi$ = {:4.3f}\\nerror = {:4.3f}%'.format(pi, error), alpha=0)\n",
    "plt.axis('square')\n",
    "plt.legend(frameon=True, framealpha=0.9, fontsize=16);\n",
    "plt.savefig('B04958_02_02.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Metropolis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def metropolis(func, steps=10000):\n",
    "    \"\"\"A very simple Metropolis implementation\"\"\"\n",
    "    samples = np.zeros(steps)\n",
    "    old_x = func.mean()\n",
    "    old_prob = func.pdf(old_x)\n",
    "\n",
    "    for i in range(steps):\n",
    "        new_x = old_x + np.random.normal(0, 1)\n",
    "        new_prob = func.pdf(new_x)\n",
    "        acceptance = new_prob/old_prob\n",
    "        if acceptance >= np.random.random():\n",
    "            samples[i] = new_x\n",
    "            old_x = new_x\n",
    "            old_prob = new_prob\n",
    "        else:\n",
    "            samples[i] = old_x\n",
    "    return samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfwAAAFoCAYAAACypUlGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLyIiEgUU+CIiIlHg/wOBjupOA29IBwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c2ec50d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(345)\n",
    "func = stats.beta(0.4, 2)\n",
    "samples = metropolis(func=func)\n",
    "x = np.linspace(0.01, .99, 100)\n",
    "y = func.pdf(x)\n",
    "plt.xlim(0, 1)\n",
    "plt.plot(x, y, 'r-', lw=3, label='True distribution')\n",
    "plt.hist(samples, bins=30, normed=True, label='Estimated distribution')\n",
    "plt.xlabel('$x$', fontsize=14)\n",
    "plt.ylabel('$pdf(x)$', fontsize=14)\n",
    "plt.legend(fontsize=14)\n",
    "plt.savefig('B04958_02_03.png', dpi=300, figsize=(5.5, 5.5));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PyMC3 primer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 0, 0])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(123)\n",
    "n_experiments = 4\n",
    "theta_real = 0.35  # unkwon value in a real experiment\n",
    "data = stats.bernoulli.rvs(p=theta_real, size=n_experiments)\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:00<00:00, 3798.65it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as our_first_model:\n",
    "    # a priori\n",
    "    theta = pm.Beta('theta', alpha=1, beta=1)\n",
    "    # likelihood\n",
    "    y = pm.Bernoulli('y', p=theta, observed=data)\n",
    "    #y = pm.Binomial('theta',n=n_experimentos, p=theta, observed=sum(datos))\n",
    "    start = pm.find_MAP()\n",
    "    step = pm.Metropolis()\n",
    "    trace = pm.sample(1000, step=step, start=start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1UAAACECAYAAAB4dQHRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c12a4df28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "burnin = 0  # no burnin\n",
    "chain = trace[burnin:]\n",
    "pm.traceplot(chain, lines={'theta':theta_real});\n",
    "plt.savefig('B04958_02_04.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/1000 [00:00<?, ?it/s]\r",
      "  2%|▏         | 15/1000 [00:00<00:06, 149.75it/s]\r",
      " 33%|███▎      | 328/1000 [00:00<00:03, 209.62it/s]\r",
      " 64%|██████▍   | 640/1000 [00:00<00:01, 291.06it/s]\r",
      " 96%|█████████▌| 956/1000 [00:00<00:00, 399.99it/s]\r",
      "100%|██████████| 1000/1000 [00:00<00:00, 2407.13it/s]\n"
     ]
    }
   ],
   "source": [
    "with our_first_model:\n",
    "    step = pm.Metropolis()\n",
    "    multi_trace = pm.sample(1000, step=step, njobs=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1UAAACECAYAAAB4dQHRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4H8PCOt4htjl3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c12fe1940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "burnin = 0  # no burnin\n",
    "multi_chain = multi_trace[burnin:]\n",
    "pm.traceplot(multi_chain, lines={'theta':theta_real});\n",
    "plt.savefig('B04958_02_06.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'theta': 1.001157123231516, 'theta_logodds_': 1.0007656645489353}"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.gelman_rubin(multi_chain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAF7CAYAAAAAH4u2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nU8QIAAAw9X9AOf77uy+ucAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c11e3dba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.forestplot(multi_chain, varnames=['theta']);\n",
    "plt.savefig('B04958_02_07.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "theta:\n",
      "\n",
      "  Mean             SD               MC Error         95% HPD interval\n",
      "  -------------------------------------------------------------------\n",
      "  \n",
      "  0.323            0.173            0.007            [0.005, 0.634]\n",
      "\n",
      "  Posterior quantiles:\n",
      "  2.5            25             50             75             97.5\n",
      "  |--------------|==============|==============|--------------|\n",
      "  \n",
      "  0.037          0.198          0.307          0.442          0.699\n",
      "\n"
     ]
    }
   ],
   "source": [
    "pm.summary(multi_chain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>theta</th>\n",
       "      <td>0.323006</td>\n",
       "      <td>0.172511</td>\n",
       "      <td>0.006603</td>\n",
       "      <td>0.00509</td>\n",
       "      <td>0.634125</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           mean        sd  mc_error  hpd_2.5  hpd_97.5\n",
       "theta  0.323006  0.172511  0.006603  0.00509  0.634125"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(multi_chain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAt4AAACpCAYAAAAcLDoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCxC8AQAAAAv8f/Xnu6alXt+PAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c11c8da90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.autocorrplot(chain)\n",
    "plt.savefig('B04958_02_08.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "637.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.effective_n(multi_chain)['theta']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAACoCAYAAADn2a+iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvNylm0vxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c11c4a7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(chain, kde_plot=True)\n",
    "plt.savefig('B04958_02_09.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAACoCAYAAADn2a+iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c11c3be80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(chain, kde_plot=True, rope=[0.45, .55])\n",
    "plt.savefig('B04958_02_10.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAACoCAYAAADn2a+iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c11a9fba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(chain, kde_plot=True, ref_val=0.5)\n",
    "plt.savefig('B04958_02_11.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was created on a x86_64 computer running debian stretch/sid and using:\n",
      "Python 3.5.2\n",
      "IPython 5.0.0\n",
      "PyMC3 3.0.rc2\n",
      "NumPy 1.11.2\n",
      "SciPy 0.18.1\n",
      "Matplotlib 1.5.3\n",
      "Seaborn 0.7.1\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was created on a %s computer running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nSciPy %s\\nMatplotlib %s\\nSeaborn %s\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, scipy.__version__, matplotlib.__version__, sns.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
